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arXiv · 1008.4154

A homological characterization of topological amenability

Jacek Brodzki·Graham A. Niblo·Piotr Nowak·Nick J. Wright
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Abstract

Generalizing Block and Weinberger's characterization of amenability we introduce the notion of uniformly finite homology for a group action on a compact space and use it to give a homological characterization of topological amenability for actions. By considering the case of the natural action of $G$ on its Stone-\vCech compactification we obtain a homological characterization of exactness of the group, answering a question of Nigel Higson.

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Jacek Brodzki, Graham A. Niblo, Piotr Nowak, Nick J. Wright. 2010-12-13. A homological characterization of topological amenability. https://arxiv.org/abs/1008.4154

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